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This article is cited in 83 scientific papers (total in 83 papers)
REVIEWS OF TOPICAL PROBLEMS
Singularities of continuation of wave fields
A. G. Kyurkchana, B. Yu. Sterninb, V. E. Shatalovb a Moscow Technical University of Communications and Informatics
b Lomonosov Moscow State University
Abstract:
The state of the art of the problem of the analytical continuation of wave fields is reviewed. The problem is a multidisciplinary subject which involves radiophysics, acoustics, and optics on the one hand, and mathematical physics and the theory of differential equation, on the other. The qualitative aspects of the problem are examined. A computational algorithm for field singularities is given. The relation between the singularities and the 'computational catastrophes' of scattering models is discussed. To illustrate the theoretical material, numerous examples are discussed in great detail.
Received: December 31, 1996
Citation:
A. G. Kyurkchan, B. Yu. Sternin, V. E. Shatalov, “Singularities of continuation of wave fields”, UFN, 166:12 (1996), 1285–1308; Phys. Usp., 39:12 (1996), 1221–1242
Linking options:
https://www.mathnet.ru/eng/ufn1270 https://www.mathnet.ru/eng/ufn/v166/i12/p1285
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